From 43ae5792d48ab292d4c23e8268a84b7d0042c502 Mon Sep 17 00:00:00 2001
From: Marwan Keraim <marwan.keraim@etu.hesge.ch>
Date: Thu, 29 Oct 2020 23:29:39 +0100
Subject: [PATCH] Lab 2 fini
---
lab2/lib/cuon-matrix.js | 741 ++++++++++++++++++++++++++++++++++++++++
lab2/src/lab2.html | 11 +-
lab2/src/lab2.js | 219 +++++++++++-
3 files changed, 962 insertions(+), 9 deletions(-)
create mode 100644 lab2/lib/cuon-matrix.js
diff --git a/lab2/lib/cuon-matrix.js b/lab2/lib/cuon-matrix.js
new file mode 100644
index 0000000..b67a5dd
--- /dev/null
+++ b/lab2/lib/cuon-matrix.js
@@ -0,0 +1,741 @@
+// cuon-matrix.js (c) 2012 kanda and matsuda
+/**
+ * This is a class treating 4x4 matrix.
+ * This class contains the function that is equivalent to OpenGL matrix stack.
+ * The matrix after conversion is calculated by multiplying a conversion matrix from the right.
+ * The matrix is replaced by the calculated result.
+ */
+
+/**
+ * Constructor of Matrix4
+ * If opt_src is specified, new matrix is initialized by opt_src.
+ * Otherwise, new matrix is initialized by identity matrix.
+ * @param opt_src source matrix(option)
+ */
+var Matrix4 = function(opt_src) {
+ var i, s, d;
+ if (opt_src && typeof opt_src === 'object' && opt_src.hasOwnProperty('elements')) {
+ s = opt_src.elements;
+ d = new Float32Array(16);
+ for (i = 0; i < 16; ++i) {
+ d[i] = s[i];
+ }
+ this.elements = d;
+ } else {
+ this.elements = new Float32Array([1,0,0,0, 0,1,0,0, 0,0,1,0, 0,0,0,1]);
+ }
+};
+
+/**
+ * Set the identity matrix.
+ * @return this
+ */
+Matrix4.prototype.setIdentity = function() {
+ var e = this.elements;
+ e[0] = 1; e[4] = 0; e[8] = 0; e[12] = 0;
+ e[1] = 0; e[5] = 1; e[9] = 0; e[13] = 0;
+ e[2] = 0; e[6] = 0; e[10] = 1; e[14] = 0;
+ e[3] = 0; e[7] = 0; e[11] = 0; e[15] = 1;
+ return this;
+};
+
+/**
+ * Copy matrix.
+ * @param src source matrix
+ * @return this
+ */
+Matrix4.prototype.set = function(src) {
+ var i, s, d;
+
+ s = src.elements;
+ d = this.elements;
+
+ if (s === d) {
+ return;
+ }
+
+ for (i = 0; i < 16; ++i) {
+ d[i] = s[i];
+ }
+
+ return this;
+};
+
+/**
+ * Multiply the matrix from the right.
+ * @param other The multiply matrix
+ * @return this
+ */
+Matrix4.prototype.concat = function(other) {
+ var i, e, a, b, ai0, ai1, ai2, ai3;
+
+ // Calculate e = a * b
+ e = this.elements;
+ a = this.elements;
+ b = other.elements;
+
+ // If e equals b, copy b to temporary matrix.
+ if (e === b) {
+ b = new Float32Array(16);
+ for (i = 0; i < 16; ++i) {
+ b[i] = e[i];
+ }
+ }
+
+ for (i = 0; i < 4; i++) {
+ ai0=a[i]; ai1=a[i+4]; ai2=a[i+8]; ai3=a[i+12];
+ e[i] = ai0 * b[0] + ai1 * b[1] + ai2 * b[2] + ai3 * b[3];
+ e[i+4] = ai0 * b[4] + ai1 * b[5] + ai2 * b[6] + ai3 * b[7];
+ e[i+8] = ai0 * b[8] + ai1 * b[9] + ai2 * b[10] + ai3 * b[11];
+ e[i+12] = ai0 * b[12] + ai1 * b[13] + ai2 * b[14] + ai3 * b[15];
+ }
+
+ return this;
+};
+Matrix4.prototype.multiply = Matrix4.prototype.concat;
+
+/**
+ * Multiply the three-dimensional vector.
+ * @param pos The multiply vector
+ * @return The result of multiplication(Float32Array)
+ */
+Matrix4.prototype.multiplyVector3 = function(pos) {
+ var e = this.elements;
+ var p = pos.elements;
+ var v = new Vector3();
+ var result = v.elements;
+
+ result[0] = p[0] * e[0] + p[1] * e[4] + p[2] * e[ 8] + e[12];
+ result[1] = p[0] * e[1] + p[1] * e[5] + p[2] * e[ 9] + e[13];
+ result[2] = p[0] * e[2] + p[1] * e[6] + p[2] * e[10] + e[14];
+
+ return v;
+};
+
+/**
+ * Multiply the four-dimensional vector.
+ * @param pos The multiply vector
+ * @return The result of multiplication(Float32Array)
+ */
+Matrix4.prototype.multiplyVector4 = function(pos) {
+ var e = this.elements;
+ var p = pos.elements;
+ var v = new Vector4();
+ var result = v.elements;
+
+ result[0] = p[0] * e[0] + p[1] * e[4] + p[2] * e[ 8] + p[3] * e[12];
+ result[1] = p[0] * e[1] + p[1] * e[5] + p[2] * e[ 9] + p[3] * e[13];
+ result[2] = p[0] * e[2] + p[1] * e[6] + p[2] * e[10] + p[3] * e[14];
+ result[3] = p[0] * e[3] + p[1] * e[7] + p[2] * e[11] + p[3] * e[15];
+
+ return v;
+};
+
+/**
+ * Transpose the matrix.
+ * @return this
+ */
+Matrix4.prototype.transpose = function() {
+ var e, t;
+
+ e = this.elements;
+
+ t = e[ 1]; e[ 1] = e[ 4]; e[ 4] = t;
+ t = e[ 2]; e[ 2] = e[ 8]; e[ 8] = t;
+ t = e[ 3]; e[ 3] = e[12]; e[12] = t;
+ t = e[ 6]; e[ 6] = e[ 9]; e[ 9] = t;
+ t = e[ 7]; e[ 7] = e[13]; e[13] = t;
+ t = e[11]; e[11] = e[14]; e[14] = t;
+
+ return this;
+};
+
+/**
+ * Calculate the inverse matrix of specified matrix, and set to this.
+ * @param other The source matrix
+ * @return this
+ */
+Matrix4.prototype.setInverseOf = function(other) {
+ var i, s, d, inv, det;
+
+ s = other.elements;
+ d = this.elements;
+ inv = new Float32Array(16);
+
+ inv[0] = s[5]*s[10]*s[15] - s[5] *s[11]*s[14] - s[9] *s[6]*s[15]
+ + s[9]*s[7] *s[14] + s[13]*s[6] *s[11] - s[13]*s[7]*s[10];
+ inv[4] = - s[4]*s[10]*s[15] + s[4] *s[11]*s[14] + s[8] *s[6]*s[15]
+ - s[8]*s[7] *s[14] - s[12]*s[6] *s[11] + s[12]*s[7]*s[10];
+ inv[8] = s[4]*s[9] *s[15] - s[4] *s[11]*s[13] - s[8] *s[5]*s[15]
+ + s[8]*s[7] *s[13] + s[12]*s[5] *s[11] - s[12]*s[7]*s[9];
+ inv[12] = - s[4]*s[9] *s[14] + s[4] *s[10]*s[13] + s[8] *s[5]*s[14]
+ - s[8]*s[6] *s[13] - s[12]*s[5] *s[10] + s[12]*s[6]*s[9];
+
+ inv[1] = - s[1]*s[10]*s[15] + s[1] *s[11]*s[14] + s[9] *s[2]*s[15]
+ - s[9]*s[3] *s[14] - s[13]*s[2] *s[11] + s[13]*s[3]*s[10];
+ inv[5] = s[0]*s[10]*s[15] - s[0] *s[11]*s[14] - s[8] *s[2]*s[15]
+ + s[8]*s[3] *s[14] + s[12]*s[2] *s[11] - s[12]*s[3]*s[10];
+ inv[9] = - s[0]*s[9] *s[15] + s[0] *s[11]*s[13] + s[8] *s[1]*s[15]
+ - s[8]*s[3] *s[13] - s[12]*s[1] *s[11] + s[12]*s[3]*s[9];
+ inv[13] = s[0]*s[9] *s[14] - s[0] *s[10]*s[13] - s[8] *s[1]*s[14]
+ + s[8]*s[2] *s[13] + s[12]*s[1] *s[10] - s[12]*s[2]*s[9];
+
+ inv[2] = s[1]*s[6]*s[15] - s[1] *s[7]*s[14] - s[5] *s[2]*s[15]
+ + s[5]*s[3]*s[14] + s[13]*s[2]*s[7] - s[13]*s[3]*s[6];
+ inv[6] = - s[0]*s[6]*s[15] + s[0] *s[7]*s[14] + s[4] *s[2]*s[15]
+ - s[4]*s[3]*s[14] - s[12]*s[2]*s[7] + s[12]*s[3]*s[6];
+ inv[10] = s[0]*s[5]*s[15] - s[0] *s[7]*s[13] - s[4] *s[1]*s[15]
+ + s[4]*s[3]*s[13] + s[12]*s[1]*s[7] - s[12]*s[3]*s[5];
+ inv[14] = - s[0]*s[5]*s[14] + s[0] *s[6]*s[13] + s[4] *s[1]*s[14]
+ - s[4]*s[2]*s[13] - s[12]*s[1]*s[6] + s[12]*s[2]*s[5];
+
+ inv[3] = - s[1]*s[6]*s[11] + s[1]*s[7]*s[10] + s[5]*s[2]*s[11]
+ - s[5]*s[3]*s[10] - s[9]*s[2]*s[7] + s[9]*s[3]*s[6];
+ inv[7] = s[0]*s[6]*s[11] - s[0]*s[7]*s[10] - s[4]*s[2]*s[11]
+ + s[4]*s[3]*s[10] + s[8]*s[2]*s[7] - s[8]*s[3]*s[6];
+ inv[11] = - s[0]*s[5]*s[11] + s[0]*s[7]*s[9] + s[4]*s[1]*s[11]
+ - s[4]*s[3]*s[9] - s[8]*s[1]*s[7] + s[8]*s[3]*s[5];
+ inv[15] = s[0]*s[5]*s[10] - s[0]*s[6]*s[9] - s[4]*s[1]*s[10]
+ + s[4]*s[2]*s[9] + s[8]*s[1]*s[6] - s[8]*s[2]*s[5];
+
+ det = s[0]*inv[0] + s[1]*inv[4] + s[2]*inv[8] + s[3]*inv[12];
+ if (det === 0) {
+ return this;
+ }
+
+ det = 1 / det;
+ for (i = 0; i < 16; i++) {
+ d[i] = inv[i] * det;
+ }
+
+ return this;
+};
+
+/**
+ * Calculate the inverse matrix of this, and set to this.
+ * @return this
+ */
+Matrix4.prototype.invert = function() {
+ return this.setInverseOf(this);
+};
+
+/**
+ * Set the orthographic projection matrix.
+ * @param left The coordinate of the left of clipping plane.
+ * @param right The coordinate of the right of clipping plane.
+ * @param bottom The coordinate of the bottom of clipping plane.
+ * @param top The coordinate of the top top clipping plane.
+ * @param near The distances to the nearer depth clipping plane. This value is minus if the plane is to be behind the viewer.
+ * @param far The distances to the farther depth clipping plane. This value is minus if the plane is to be behind the viewer.
+ * @return this
+ */
+Matrix4.prototype.setOrtho = function(left, right, bottom, top, near, far) {
+ var e, rw, rh, rd;
+
+ if (left === right || bottom === top || near === far) {
+ throw 'null frustum';
+ }
+
+ rw = 1 / (right - left);
+ rh = 1 / (top - bottom);
+ rd = 1 / (far - near);
+
+ e = this.elements;
+
+ e[0] = 2 * rw;
+ e[1] = 0;
+ e[2] = 0;
+ e[3] = 0;
+
+ e[4] = 0;
+ e[5] = 2 * rh;
+ e[6] = 0;
+ e[7] = 0;
+
+ e[8] = 0;
+ e[9] = 0;
+ e[10] = -2 * rd;
+ e[11] = 0;
+
+ e[12] = -(right + left) * rw;
+ e[13] = -(top + bottom) * rh;
+ e[14] = -(far + near) * rd;
+ e[15] = 1;
+
+ return this;
+};
+
+/**
+ * Multiply the orthographic projection matrix from the right.
+ * @param left The coordinate of the left of clipping plane.
+ * @param right The coordinate of the right of clipping plane.
+ * @param bottom The coordinate of the bottom of clipping plane.
+ * @param top The coordinate of the top top clipping plane.
+ * @param near The distances to the nearer depth clipping plane. This value is minus if the plane is to be behind the viewer.
+ * @param far The distances to the farther depth clipping plane. This value is minus if the plane is to be behind the viewer.
+ * @return this
+ */
+Matrix4.prototype.ortho = function(left, right, bottom, top, near, far) {
+ return this.concat(new Matrix4().setOrtho(left, right, bottom, top, near, far));
+};
+
+/**
+ * Set the perspective projection matrix.
+ * @param left The coordinate of the left of clipping plane.
+ * @param right The coordinate of the right of clipping plane.
+ * @param bottom The coordinate of the bottom of clipping plane.
+ * @param top The coordinate of the top top clipping plane.
+ * @param near The distances to the nearer depth clipping plane. This value must be plus value.
+ * @param far The distances to the farther depth clipping plane. This value must be plus value.
+ * @return this
+ */
+Matrix4.prototype.setFrustum = function(left, right, bottom, top, near, far) {
+ var e, rw, rh, rd;
+
+ if (left === right || top === bottom || near === far) {
+ throw 'null frustum';
+ }
+ if (near <= 0) {
+ throw 'near <= 0';
+ }
+ if (far <= 0) {
+ throw 'far <= 0';
+ }
+
+ rw = 1 / (right - left);
+ rh = 1 / (top - bottom);
+ rd = 1 / (far - near);
+
+ e = this.elements;
+
+ e[ 0] = 2 * near * rw;
+ e[ 1] = 0;
+ e[ 2] = 0;
+ e[ 3] = 0;
+
+ e[ 4] = 0;
+ e[ 5] = 2 * near * rh;
+ e[ 6] = 0;
+ e[ 7] = 0;
+
+ e[ 8] = (right + left) * rw;
+ e[ 9] = (top + bottom) * rh;
+ e[10] = -(far + near) * rd;
+ e[11] = -1;
+
+ e[12] = 0;
+ e[13] = 0;
+ e[14] = -2 * near * far * rd;
+ e[15] = 0;
+
+ return this;
+};
+
+/**
+ * Multiply the perspective projection matrix from the right.
+ * @param left The coordinate of the left of clipping plane.
+ * @param right The coordinate of the right of clipping plane.
+ * @param bottom The coordinate of the bottom of clipping plane.
+ * @param top The coordinate of the top top clipping plane.
+ * @param near The distances to the nearer depth clipping plane. This value must be plus value.
+ * @param far The distances to the farther depth clipping plane. This value must be plus value.
+ * @return this
+ */
+Matrix4.prototype.frustum = function(left, right, bottom, top, near, far) {
+ return this.concat(new Matrix4().setFrustum(left, right, bottom, top, near, far));
+};
+
+/**
+ * Set the perspective projection matrix by fovy and aspect.
+ * @param fovy The angle between the upper and lower sides of the frustum.
+ * @param aspect The aspect ratio of the frustum. (width/height)
+ * @param near The distances to the nearer depth clipping plane. This value must be plus value.
+ * @param far The distances to the farther depth clipping plane. This value must be plus value.
+ * @return this
+ */
+Matrix4.prototype.setPerspective = function(fovy, aspect, near, far) {
+ var e, rd, s, ct;
+
+ if (near === far || aspect === 0) {
+ throw 'null frustum';
+ }
+ if (near <= 0) {
+ throw 'near <= 0';
+ }
+ if (far <= 0) {
+ throw 'far <= 0';
+ }
+
+ fovy = Math.PI * fovy / 180 / 2;
+ s = Math.sin(fovy);
+ if (s === 0) {
+ throw 'null frustum';
+ }
+
+ rd = 1 / (far - near);
+ ct = Math.cos(fovy) / s;
+
+ e = this.elements;
+
+ e[0] = ct / aspect;
+ e[1] = 0;
+ e[2] = 0;
+ e[3] = 0;
+
+ e[4] = 0;
+ e[5] = ct;
+ e[6] = 0;
+ e[7] = 0;
+
+ e[8] = 0;
+ e[9] = 0;
+ e[10] = -(far + near) * rd;
+ e[11] = -1;
+
+ e[12] = 0;
+ e[13] = 0;
+ e[14] = -2 * near * far * rd;
+ e[15] = 0;
+
+ return this;
+};
+
+/**
+ * Multiply the perspective projection matrix from the right.
+ * @param fovy The angle between the upper and lower sides of the frustum.
+ * @param aspect The aspect ratio of the frustum. (width/height)
+ * @param near The distances to the nearer depth clipping plane. This value must be plus value.
+ * @param far The distances to the farther depth clipping plane. This value must be plus value.
+ * @return this
+ */
+Matrix4.prototype.perspective = function(fovy, aspect, near, far) {
+ return this.concat(new Matrix4().setPerspective(fovy, aspect, near, far));
+};
+
+/**
+ * Set the matrix for scaling.
+ * @param x The scale factor along the X axis
+ * @param y The scale factor along the Y axis
+ * @param z The scale factor along the Z axis
+ * @return this
+ */
+Matrix4.prototype.setScale = function(x, y, z) {
+ var e = this.elements;
+ e[0] = x; e[4] = 0; e[8] = 0; e[12] = 0;
+ e[1] = 0; e[5] = y; e[9] = 0; e[13] = 0;
+ e[2] = 0; e[6] = 0; e[10] = z; e[14] = 0;
+ e[3] = 0; e[7] = 0; e[11] = 0; e[15] = 1;
+ return this;
+};
+
+/**
+ * Multiply the matrix for scaling from the right.
+ * @param x The scale factor along the X axis
+ * @param y The scale factor along the Y axis
+ * @param z The scale factor along the Z axis
+ * @return this
+ */
+Matrix4.prototype.scale = function(x, y, z) {
+ var e = this.elements;
+ e[0] *= x; e[4] *= y; e[8] *= z;
+ e[1] *= x; e[5] *= y; e[9] *= z;
+ e[2] *= x; e[6] *= y; e[10] *= z;
+ e[3] *= x; e[7] *= y; e[11] *= z;
+ return this;
+};
+
+/**
+ * Set the matrix for translation.
+ * @param x The X value of a translation.
+ * @param y The Y value of a translation.
+ * @param z The Z value of a translation.
+ * @return this
+ */
+Matrix4.prototype.setTranslate = function(x, y, z) {
+ var e = this.elements;
+ e[0] = 1; e[4] = 0; e[8] = 0; e[12] = x;
+ e[1] = 0; e[5] = 1; e[9] = 0; e[13] = y;
+ e[2] = 0; e[6] = 0; e[10] = 1; e[14] = z;
+ e[3] = 0; e[7] = 0; e[11] = 0; e[15] = 1;
+ return this;
+};
+
+/**
+ * Multiply the matrix for translation from the right.
+ * @param x The X value of a translation.
+ * @param y The Y value of a translation.
+ * @param z The Z value of a translation.
+ * @return this
+ */
+Matrix4.prototype.translate = function(x, y, z) {
+ var e = this.elements;
+ e[12] += e[0] * x + e[4] * y + e[8] * z;
+ e[13] += e[1] * x + e[5] * y + e[9] * z;
+ e[14] += e[2] * x + e[6] * y + e[10] * z;
+ e[15] += e[3] * x + e[7] * y + e[11] * z;
+ return this;
+};
+
+/**
+ * Set the matrix for rotation.
+ * The vector of rotation axis may not be normalized.
+ * @param angle The angle of rotation (degrees)
+ * @param x The X coordinate of vector of rotation axis.
+ * @param y The Y coordinate of vector of rotation axis.
+ * @param z The Z coordinate of vector of rotation axis.
+ * @return this
+ */
+Matrix4.prototype.setRotate = function(angle, x, y, z) {
+ var e, s, c, len, rlen, nc, xy, yz, zx, xs, ys, zs;
+
+ angle = Math.PI * angle / 180;
+ e = this.elements;
+
+ s = Math.sin(angle);
+ c = Math.cos(angle);
+
+ if (0 !== x && 0 === y && 0 === z) {
+ // Rotation around X axis
+ if (x < 0) {
+ s = -s;
+ }
+ e[0] = 1; e[4] = 0; e[ 8] = 0; e[12] = 0;
+ e[1] = 0; e[5] = c; e[ 9] =-s; e[13] = 0;
+ e[2] = 0; e[6] = s; e[10] = c; e[14] = 0;
+ e[3] = 0; e[7] = 0; e[11] = 0; e[15] = 1;
+ } else if (0 === x && 0 !== y && 0 === z) {
+ // Rotation around Y axis
+ if (y < 0) {
+ s = -s;
+ }
+ e[0] = c; e[4] = 0; e[ 8] = s; e[12] = 0;
+ e[1] = 0; e[5] = 1; e[ 9] = 0; e[13] = 0;
+ e[2] =-s; e[6] = 0; e[10] = c; e[14] = 0;
+ e[3] = 0; e[7] = 0; e[11] = 0; e[15] = 1;
+ } else if (0 === x && 0 === y && 0 !== z) {
+ // Rotation around Z axis
+ if (z < 0) {
+ s = -s;
+ }
+ e[0] = c; e[4] =-s; e[ 8] = 0; e[12] = 0;
+ e[1] = s; e[5] = c; e[ 9] = 0; e[13] = 0;
+ e[2] = 0; e[6] = 0; e[10] = 1; e[14] = 0;
+ e[3] = 0; e[7] = 0; e[11] = 0; e[15] = 1;
+ } else {
+ // Rotation around another axis
+ len = Math.sqrt(x*x + y*y + z*z);
+ if (len !== 1) {
+ rlen = 1 / len;
+ x *= rlen;
+ y *= rlen;
+ z *= rlen;
+ }
+ nc = 1 - c;
+ xy = x * y;
+ yz = y * z;
+ zx = z * x;
+ xs = x * s;
+ ys = y * s;
+ zs = z * s;
+
+ e[ 0] = x*x*nc + c;
+ e[ 1] = xy *nc + zs;
+ e[ 2] = zx *nc - ys;
+ e[ 3] = 0;
+
+ e[ 4] = xy *nc - zs;
+ e[ 5] = y*y*nc + c;
+ e[ 6] = yz *nc + xs;
+ e[ 7] = 0;
+
+ e[ 8] = zx *nc + ys;
+ e[ 9] = yz *nc - xs;
+ e[10] = z*z*nc + c;
+ e[11] = 0;
+
+ e[12] = 0;
+ e[13] = 0;
+ e[14] = 0;
+ e[15] = 1;
+ }
+
+ return this;
+};
+
+/**
+ * Multiply the matrix for rotation from the right.
+ * The vector of rotation axis may not be normalized.
+ * @param angle The angle of rotation (degrees)
+ * @param x The X coordinate of vector of rotation axis.
+ * @param y The Y coordinate of vector of rotation axis.
+ * @param z The Z coordinate of vector of rotation axis.
+ * @return this
+ */
+Matrix4.prototype.rotate = function(angle, x, y, z) {
+ return this.concat(new Matrix4().setRotate(angle, x, y, z));
+};
+
+/**
+ * Set the viewing matrix.
+ * @param eyeX, eyeY, eyeZ The position of the eye point.
+ * @param centerX, centerY, centerZ The position of the reference point.
+ * @param upX, upY, upZ The direction of the up vector.
+ * @return this
+ */
+Matrix4.prototype.setLookAt = function(eyeX, eyeY, eyeZ, centerX, centerY, centerZ, upX, upY, upZ) {
+ var e, fx, fy, fz, rlf, sx, sy, sz, rls, ux, uy, uz;
+
+ fx = centerX - eyeX;
+ fy = centerY - eyeY;
+ fz = centerZ - eyeZ;
+
+ // Normalize f.
+ rlf = 1 / Math.sqrt(fx*fx + fy*fy + fz*fz);
+ fx *= rlf;
+ fy *= rlf;
+ fz *= rlf;
+
+ // Calculate cross product of f and up.
+ sx = fy * upZ - fz * upY;
+ sy = fz * upX - fx * upZ;
+ sz = fx * upY - fy * upX;
+
+ // Normalize s.
+ rls = 1 / Math.sqrt(sx*sx + sy*sy + sz*sz);
+ sx *= rls;
+ sy *= rls;
+ sz *= rls;
+
+ // Calculate cross product of s and f.
+ ux = sy * fz - sz * fy;
+ uy = sz * fx - sx * fz;
+ uz = sx * fy - sy * fx;
+
+ // Set to this.
+ e = this.elements;
+ e[0] = sx;
+ e[1] = ux;
+ e[2] = -fx;
+ e[3] = 0;
+
+ e[4] = sy;
+ e[5] = uy;
+ e[6] = -fy;
+ e[7] = 0;
+
+ e[8] = sz;
+ e[9] = uz;
+ e[10] = -fz;
+ e[11] = 0;
+
+ e[12] = 0;
+ e[13] = 0;
+ e[14] = 0;
+ e[15] = 1;
+
+ // Translate.
+ return this.translate(-eyeX, -eyeY, -eyeZ);
+};
+
+/**
+ * Multiply the viewing matrix from the right.
+ * @param eyeX, eyeY, eyeZ The position of the eye point.
+ * @param centerX, centerY, centerZ The position of the reference point.
+ * @param upX, upY, upZ The direction of the up vector.
+ * @return this
+ */
+Matrix4.prototype.lookAt = function(eyeX, eyeY, eyeZ, centerX, centerY, centerZ, upX, upY, upZ) {
+ return this.concat(new Matrix4().setLookAt(eyeX, eyeY, eyeZ, centerX, centerY, centerZ, upX, upY, upZ));
+};
+
+/**
+ * Multiply the matrix for project vertex to plane from the right.
+ * @param plane The array[A, B, C, D] of the equation of plane "Ax + By + Cz + D = 0".
+ * @param light The array which stored coordinates of the light. if light[3]=0, treated as parallel light.
+ * @return this
+ */
+Matrix4.prototype.dropShadow = function(plane, light) {
+ var mat = new Matrix4();
+ var e = mat.elements;
+
+ var dot = plane[0] * light[0] + plane[1] * light[1] + plane[2] * light[2] + plane[3] * light[3];
+
+ e[ 0] = dot - light[0] * plane[0];
+ e[ 1] = - light[1] * plane[0];
+ e[ 2] = - light[2] * plane[0];
+ e[ 3] = - light[3] * plane[0];
+
+ e[ 4] = - light[0] * plane[1];
+ e[ 5] = dot - light[1] * plane[1];
+ e[ 6] = - light[2] * plane[1];
+ e[ 7] = - light[3] * plane[1];
+
+ e[ 8] = - light[0] * plane[2];
+ e[ 9] = - light[1] * plane[2];
+ e[10] = dot - light[2] * plane[2];
+ e[11] = - light[3] * plane[2];
+
+ e[12] = - light[0] * plane[3];
+ e[13] = - light[1] * plane[3];
+ e[14] = - light[2] * plane[3];
+ e[15] = dot - light[3] * plane[3];
+
+ return this.concat(mat);
+}
+
+/**
+ * Multiply the matrix for project vertex to plane from the right.(Projected by parallel light.)
+ * @param normX, normY, normZ The normal vector of the plane.(Not necessary to be normalized.)
+ * @param planeX, planeY, planeZ The coordinate of arbitrary points on a plane.
+ * @param lightX, lightY, lightZ The vector of the direction of light.(Not necessary to be normalized.)
+ * @return this
+ */
+Matrix4.prototype.dropShadowDirectionally = function(normX, normY, normZ, planeX, planeY, planeZ, lightX, lightY, lightZ) {
+ var a = planeX * normX + planeY * normY + planeZ * normZ;
+ return this.dropShadow([normX, normY, normZ, -a], [lightX, lightY, lightZ, 0]);
+};
+
+/**
+ * Constructor of Vector3
+ * If opt_src is specified, new vector is initialized by opt_src.
+ * @param opt_src source vector(option)
+ */
+var Vector3 = function(opt_src) {
+ var v = new Float32Array(3);
+ if (opt_src && typeof opt_src === 'object') {
+ v[0] = opt_src[0]; v[1] = opt_src[1]; v[2] = opt_src[2];
+ }
+ this.elements = v;
+}
+
+/**
+ * Normalize.
+ * @return this
+ */
+Vector3.prototype.normalize = function() {
+ var v = this.elements;
+ var c = v[0], d = v[1], e = v[2], g = Math.sqrt(c*c+d*d+e*e);
+ if(g){
+ if(g == 1)
+ return this;
+ } else {
+ v[0] = 0; v[1] = 0; v[2] = 0;
+ return this;
+ }
+ g = 1/g;
+ v[0] = c*g; v[1] = d*g; v[2] = e*g;
+ return this;
+};
+
+/**
+ * Constructor of Vector4
+ * If opt_src is specified, new vector is initialized by opt_src.
+ * @param opt_src source vector(option)
+ */
+var Vector4 = function(opt_src) {
+ var v = new Float32Array(4);
+ if (opt_src && typeof opt_src === 'object') {
+ v[0] = opt_src[0]; v[1] = opt_src[1]; v[2] = opt_src[2]; v[3] = opt_src[3];
+ }
+ this.elements = v;
+}
diff --git a/lab2/src/lab2.html b/lab2/src/lab2.html
index 723e90e..a859681 100644
--- a/lab2/src/lab2.html
+++ b/lab2/src/lab2.html
@@ -5,12 +5,19 @@
<title>Simple model</title>
</head>
<body onload="main()">
-<canvas width="400" height="600" id="my-canvas">
+<canvas width="600" height="600" id="my-canvas">
Please use a browser that supports "canvas"
</canvas>
+
+<div style="float:left;">
+ <p>Déplacement caméra : </br> Flèches clavier
+ </p>
+</div>
+
<script src="../lib/webgl-utils.js"></script>
<script src="../lib/webgl-debug.js"></script>
<script src="../lib/cuon-utils.js"></script>
+<script src="../lib/cuon-matrix.js"></script>
<script src="lab2.js"></script>
</body>
-</html>
\ No newline at end of file
+</html>
diff --git a/lab2/src/lab2.js b/lab2/src/lab2.js
index 105a227..4c1fed7 100644
--- a/lab2/src/lab2.js
+++ b/lab2/src/lab2.js
@@ -1,18 +1,223 @@
// Vertex shader program
const VSHADER_SOURCE =
- '\n' +
- // TODO: Implement your vertex shader code here
+'\n' +
+'attribute vec4 a_Position;\n' +
+'attribute vec4 a_Color;\n' +
+
+'uniform mat4 u_Proj;\n'+
+'uniform mat4 u_View;\n'+
+'uniform mat4 u_Model;\n'+
+
+'varying vec4 v_Color;\n' +
+
+'void main() {\n' +
+' gl_Position = u_Proj * u_View * u_Model * a_Position;\n' +
+' v_Color = a_Color;\n' +
+'}\n' +
'\n';
// Fragment shader program
const FSHADER_SOURCE =
- '\n' +
- // TODO: Implement your fragment shader code here
- '\n';
+'\n' +
+ 'precision mediump float;\n' +
+
+ 'varying vec4 v_Color;\n'+
+
+ 'void main() {\n' +
+ ' gl_FragColor = v_Color;\n' +
+'}\n' +
+'\n';
function main() {
// Retrieve <canvas> element
const canvas = document.getElementById('my-canvas');
+
+ // Get the rendering context for WebGL
+ const gl = getWebGLContext(canvas);
+ if (!gl) {
+ console.log('Failed to get the rendering context for WebGL');
+ return;
+ }
+ gl.enable(gl.DEPTH_TEST);
+
+ // Initialize shaders
+ if (!initShaders(gl, VSHADER_SOURCE, FSHADER_SOURCE)) {
+ console.log('Failed to intialize shaders.');
+ return;
+ }
+
+ // Write the positions of vertices to a vertex shader
+ const n = initVertexBuffers(gl);
+ if (n < 0) {
+ console.log('Failed to set the positions of the vertices');
+ return;
+ }
+
+ let projUniform = gl.getUniformLocation(gl.program , 'u_Proj');
+ let viewUniform = gl.getUniformLocation(gl.program , 'u_View');
+ let modelUniform = gl.getUniformLocation(gl.program , 'u_Model');
+
+ let modelMatrix = new Matrix4();
+ let viewMatrix = new Matrix4();
+ let projMatrix = new Matrix4();
+
+ let eyeMatrix = [3 ,0];
+
+ viewMatrix.setLookAt(eyeMatrix[0], eyeMatrix[1], 4, 0,0,0, 0,1,0);
+ projMatrix.setPerspective(30, canvas.width/canvas.height, 1, 100);
+
+ gl.uniformMatrix4fv(modelUniform, false, modelMatrix.elements);
+ gl.uniformMatrix4fv(viewUniform, false, viewMatrix.elements);
+ gl.uniformMatrix4fv(projUniform, false, projMatrix.elements);
+
+ let ANGLE = 180.0; // The rotation angle
+
+ let callback = function() {
+ //~ modelMatrix.setRotate(ANGLE, 1, 0, 0); // Set rotation matrix
+ modelMatrix.setTranslate(0,-0.85,0);
+ gl.uniformMatrix4fv(modelUniform, false, modelMatrix.elements);
+ //~ ANGLE++;
+
+ gl.clearColor(0, 0, 0, 1);
+ gl.clear(gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT);
+ gl.drawArrays(gl.TRIANGLES, 0, n);
+
+ modelMatrix.setRotate(ANGLE, 0, 0, 1); // Set rotation matrix
+ modelMatrix.translate(0,-0.15,0);
+ gl.uniformMatrix4fv(modelUniform, false, modelMatrix.elements);
+ gl.drawArrays(gl.TRIANGLES, 0, n);
+
+ // Détections des touches
+ detectKey(eyeMatrix);
+ viewMatrix.setLookAt(eyeMatrix[0], eyeMatrix[1], 4, 0,0,0, 0,1,0);
+ gl.uniformMatrix4fv(viewUniform, false, viewMatrix.elements);
+
+ requestAnimationFrame(callback);
+ }
+
+ requestAnimationFrame(callback);
+}
+
+function detectKey(eyeMatrix) {
+ const vitesseCamera = 1;
+
+ document.onkeydown = function(event) {
+ switch (event.keyCode) {
+ case 37:
+ eyeMatrix[0] -= vitesseCamera;
+ break;
+ case 38:
+ eyeMatrix[1] += vitesseCamera;
+ break;
+ case 39:
+ eyeMatrix[0] += vitesseCamera;
+ break;
+ case 40:
+ eyeMatrix[1] -= vitesseCamera;
+ break;
+ }
+ };
+}
+
+function initVertexBuffers(gl) {
+ // This is the model
+ const vertices = new Float32Array([
+ // ====== Front ============
+ // x , y , z, R , G , B
+ // Triangle 1
+ -1/6, 3/6,-0.25 , 0.0,0.0,1.0,
+ 1/6, 3/6,-0.25 , 0.0,0.0,1.0,
+ -3/6, -2/6,0, 0.0,0.0,1.0,
+ // Triangle 2
+ -3/6, -2/6, 0 , 0.0,0.0,1.0,
+ 3/6, -2/6, 0 , 0.0,0.0,1.0,
+ 1/6, 3/6, -0.25, 0.0,0.0,1.0,
+ // =========== Back ===============
+ // Triangle 1
+ -1/6, 3/6,-0.5 , 0.0,1.0,0.0,
+ 1/6, 3/6,-0.5 , 0.0,1.0,0.0,
+ -3/6, -2/6,-0.75, 0.0,1.0,0.0,
+ // Triangle 2
+ -3/6, -2/6, -0.75 , 0.0,1.0,0.0,
+ 3/6, -2/6, -0.75 , 0.0,1.0,0.0,
+ 1/6, 3/6, -0.5, 0.0,1.0,0.0,
+ // =========== Top ===============
+ // Triangle 1
+ -1/6, 3/6,-0.25, 0.0,0.5,0.0,
+ 1/6, 3/6,-0.25 , 0.0,0.5,0.0,
+ 1/6, 3/6,-0.5, 0.0,0.5,0.0,
+ // Triangle 2
+ -1/6, 3/6,-0.5, 0.0,0.5,0.0,
+ 1/6, 3/6, -0.5, 0.0,0.5,0.0,
+ -1/6, 3/6,-0.25, 0.0,0.5,0.0,
+ // =========== Bottom ===============
+ // Triangle 1
+ -3/6, -2/6,0, 1.0,1.0,1.0,
+ 3/6, -2/6,0 , 1.0,1.0,1.0,
+ 3/6, -2/6,-0.75, 1.0,1.0,1.0,
+ // Triangle 2
+ -3/6, -2/6,-0.75, 1.0,1.0,1.0,
+ 3/6, -2/6, -0.75, 1.0,1.0,1.0,
+ -3/6, -2/6, 0, 1.0,1.0,1.0,
+ // =========== Left ===============
+ // Triangle 1
+ -1/6, 3/6, -0.25, 1.0,0.0,0.0,
+ -1/6, 3/6, -0.5, 1.0,0.0,0.0,
+ -3/6, -2/6,-0.75, 1.0,0.0,0.0,
+ // Triangle 2
+ -3/6, -2/6, 0, 1.0,0.0,0.0,
+ -3/6, -2/6, -0.75, 1.0,0.0,0.0,
+ -1/6, 3/6,-0.25, 1.0,0.0,0.0,
+ // =========== Right ===============
+ // Triangle 1
+ 1/6, 3/6, -0.25, 1.0,0.0,0.5,
+ 1/6, 3/6, -0.5, 1.0,0.0,0.5,
+ 3/6, -2/6,-0.75, 1.0,0.0,0.5,
+ // Triangle 2
+ 3/6, -2/6, -0.75, 1.0,0.0,0.5,
+ 3/6, -2/6, 0, 1.0,0.0,0.5,
+ 1/6, 3/6,-0.25, 1.0,0.0,0.5,
+ ]);
+ const n = vertices.length / 6; // The number of vertices
+
+ // Create a buffer object
+ const vertexBuffer = gl.createBuffer();
+ if (!vertexBuffer) {
+ console.log('Failed to create the buffer object');
+ return -1;
+ }
+
+ // Bind the buffer object to target
+ gl.bindBuffer(gl.ARRAY_BUFFER, vertexBuffer);
+ // Write date into the buffer object
+ gl.bufferData(gl.ARRAY_BUFFER, vertices, gl.STATIC_DRAW);
+
+ // ==================== Bind : a_position ==============================
+ const a_Position = gl.getAttribLocation(gl.program, 'a_Position');
+ if (a_Position < 0) {
+ console.log('Failed to get the storage location of a_Position');
+ return -1;
+ }
+
+ // Assign the buffer object to a_Position variable
+ gl.vertexAttribPointer(a_Position, 3, gl.FLOAT, false, 6 * Float32Array.BYTES_PER_ELEMENT, 0);
+ // Enable the assignment to a_Position variable
+ gl.enableVertexAttribArray(a_Position);
+ // ==================== Bind : a_color ==============================
+ const a_Color = gl.getAttribLocation(gl.program, 'a_Color');
+ if (a_Color < 0) {
+ console.log('Failed to get the storage location of a_Color');
+ return -1;
+ }
+
+ // Assign the buffer object to a_Position variable
+ gl.vertexAttribPointer(a_Color, 3, gl.FLOAT, false, 6 * Float32Array.BYTES_PER_ELEMENT, 3 * Float32Array.BYTES_PER_ELEMENT);
+ // Enable the assignment to a_Position variable
+ gl.enableVertexAttribArray(a_Color);
+ // ===============================================================
- // TODO: Complete with your code here
-}
\ No newline at end of file
+ // Unbind the buffer object
+ gl.bindBuffer(gl.ARRAY_BUFFER, null);
+
+ return n;
+}
--
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